Explorations in Quantum Computing

  • Colin P. Williams

Part of the Texts in Computer Science book series (TCS)

Table of contents

  1. Front Matter
    Pages I-XXII
  2. What is Quantum Computing?

    1. Front Matter
      Pages 1-1
    2. Colin P. Williams
      Pages 3-49
    3. Colin P. Williams
      Pages 51-122
    4. Colin P. Williams
      Pages 123-199
    5. Colin P. Williams
      Pages 201-237
  3. What Can You Do with a Quantum Computer?

    1. Front Matter
      Pages 239-239
    2. Colin P. Williams
      Pages 241-262
    3. Colin P. Williams
      Pages 263-292
    4. Colin P. Williams
      Pages 319-348
    5. Colin P. Williams
      Pages 349-367
    6. Colin P. Williams
      Pages 369-399
  4. What Can You Do with Quantum Information?

    1. Front Matter
      Pages 401-401
    2. Colin P. Williams
      Pages 403-482
    3. Colin P. Williams
      Pages 483-505
    4. Colin P. Williams
      Pages 507-563
  5. Towards Practical Quantum Computers

    1. Front Matter
      Pages 565-565
    2. Colin P. Williams
      Pages 567-625
    3. Colin P. Williams
      Pages 627-662
  6. Back Matter
    Pages 663-717

About this book


By the year 2020, the basic memory components of a computer will be the size of individual atoms. At such scales, the current theory of computation will become invalid.

“Quantum computing” is reinventing the foundations of computer science and information theory in a way that is consistent with quantum physics – the most accurate model of reality currently known. Remarkably, this theory predicts that quantum computers can perform certain tasks exponentially faster than classical computers and, better yet, can accomplish “impossible” feats such as teleporting information, breaking supposedly “unbreakable” codes, generating true random numbers, and communicating with messages that betray the presence of eavesdropping.

This widely anticipated second edition of Explorations in Quantum Computing explains the field from a fresh perspective, emphasizing lesser known quantum transforms, and practical applications of quantum algorithms and quantum information theory. The required mathematical machinery is developed systematically, and the students’ knowledge tested through several end-of-chapter exercises. This easy-to-read, time-tested, and comprehensive textbook provides a unique perspective on the capabilities of quantum computers, and supplies readers with the tools necessary to make their own foray into this exciting field.

Topics and features:

  • Concludes each chapter with exercises and a summary of the material covered
  • Provides an introduction to the mathematical formalism of quantum computing, and the quantum effects that can be harnessed to achieve unparalleled new capabilities
  • Discusses the concepts of quantum gates, entangling power, quantum circuits, quantum Fourier, wavelet, and cosine transforms, quantum universality, quantum computability, and quantum complexity
  • Examines the potential applications of quantum computers in areas such as search, code-breaking, solving
NP-Complete problems, quantum simulation, quantum chemistry, and mathematics
  • Describes uses of quantum information, including quantum teleportation, superdense coding, quantum data compression, quantum cloning, quantum negation, and quantum cryptography
  • Reviews the advancements made towards practical quantum computers covering developments in quantum error correction, quantum error avoidance, and alternative models of quantum computation
  • This text/reference is ideal for anyone wishing to learn more about this incredible, perhaps “ultimate,” computer revolution.

    Dr. Colin P. Williams is Program Manager for Advanced Computing Paradigms at the NASA Jet Propulsion Laboratory, California Institute of Technology, and formerly acting Associate Professor of Computer Science at Stanford University where he taught courses on quantum computing and quantum information theory, and computer-algebra systems. He has spent over a decade working in quantum computing, and inspiring and leading high technology teams. Today his interests include quantum computing, artificial intelligence, cognitive computing, evolutionary computing, computational material design, computer visualization, and computationally-enabled remote olfaction. He was formerly a Research Scientist at Xerox PARC and a Research Assistant to Prof. Stephen W. Hawking at Cambridge University.

    Authors and affiliations

    • Colin P. Williams
      • 1
    1. 1.NASA Jet Propulsion Lab.California Institute of TechnologyPasadenaUSA

    Bibliographic information

    • DOI
    • Copyright Information Springer-Verlag London Limited 2011
    • Publisher Name Springer, London
    • eBook Packages Computer Science
    • Print ISBN 978-1-84628-886-9
    • Online ISBN 978-1-84628-887-6
    • Series Print ISSN 1868-0941
    • Series Online ISSN 1868-095X
    • Buy this book on publisher's site